Pith Number

pith:Z2AMDVP4

pith:2006:Z2AMDVP4NNQPB6ESZ6MYW2ZKHY

not attested not anchored not stored refs pending

Translation equivalent elements in free groups

Donghi Lee

arxiv:math/0604435 v1 · 2006-04-20 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2AMDVP4NNQPB6ESZ6MYW2ZKHY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:23:11.842145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce80c1d5fc6b60f0f892cf998b6b2a3e10f03c0229d3e37efd2ec6f1ada383c7

Aliases

arxiv: math/0604435 · arxiv_version: math/0604435v1 · doi: 10.48550/arxiv.math/0604435 · pith_short_12: Z2AMDVP4NNQP · pith_short_16: Z2AMDVP4NNQPB6ES · pith_short_8: Z2AMDVP4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2AMDVP4NNQPB6ESZ6MYW2ZKHY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ce80c1d5fc6b60f0f892cf998b6b2a3e10f03c0229d3e37efd2ec6f1ada383c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60338d9f419fe2b31013a5cd66adf14169918d83b0e9635b3e32bb74c1d2601",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-04-20T03:10:03Z",
    "title_canon_sha256": "87f438a19cdc038b42210db76084110d71a367a11dae5c249557df03d49ac4aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604435",
    "kind": "arxiv",
    "version": 1
  }
}